23. The marked price of a jacket is 60% higher than the cost. If the jacket is sold at a discount of 30% and the

Question

profit of selling the jacket is $30, find the marked price of the jacket.

Answer 1

Let's call the cost of the jacket C.
The marked price of the jacket is C + 60% of C = C + 0.6C = 1.6C.
The jacket is sold at a discount of 30%, so the selling price is 70% of the marked price: 0.7 * 1.6C = 1.12C.
The profit from selling the jacket is the selling price minus the cost: 1.12C - C = 0.12C.
We are told that the profit is $30, so 0.12C = $30.
Dividing both sides of the equation by 0.12, we have C = $250.
The marked price of the jacket is 1.6C = 1.6 * $250 = $<<1.6*250=400>>400. Answer: \boxed{400}.